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Finding the Fourth Proportional to 113.66, 170.28 and 89.57

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Solution

The fourth proportional to 113.66, 170.28 and 89.57 is: 134.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.66 : 170.28 = 89.57 : x
  2. Step 2: Convert to fraction form
    113.66/170.28 = 89.57/x
  3. Step 3: Cross multiply
    113.66x = 170.28 × 89.57
  4. Step 4: Simplify right side
    113.66x = 15,251.98
  5. Step 5: Solve for x
    x = 15,251.98/113.66
  6. Step 6: Final answer
    x = 134.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.